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12858150213072 = 24322322916953239
BaseRepresentation
bin1011101100011100010101…
…1110011101010111010000
31200112020010121002201220100
42323013011132131113100
53141131442423304242
643202541435212400
72464653643325313
oct273070536352720
950466117081810
1012858150213072
11410812464732a
121537bb45a7100
13723697ac3c58
143264a2c8097a
1517470b37554c
hexbb1c579d5d0

12858150213072 has 120 divisors (see below), whose sum is σ = 37713499574400. Its totient is φ = 4081797206784.

The previous prime is 12858150213067. The next prime is 12858150213089. The reversal of 12858150213072 is 27031205185821.

12858150213072 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 8 + 1 + 502 + 130 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7718172 + ... + 9235067.

It is an arithmetic number, because the mean of its divisors is an integer number (314279163120).

Almost surely, 212858150213072 is an apocalyptic number.

12858150213072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12858150213072 is an abundant number, since it is smaller than the sum of its proper divisors (24855349361328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12858150213072 is a wasteful number, since it uses less digits than its factorization.

12858150213072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16953505 (or 16953496 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

Adding to 12858150213072 its reverse (27031205185821), we get a palindrome (39889355398893).

The spelling of 12858150213072 in words is "twelve trillion, eight hundred fifty-eight billion, one hundred fifty million, two hundred thirteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 229 276 368 414 458 552 687 828 916 1104 1374 1656 1832 2061 2748 3312 3664 4122 5267 5496 8244 10534 10992 15801 16488 21068 31602 32976 42136 47403 63204 84272 94806 126408 189612 252816 379224 758448 16953239 33906478 50859717 67812956 101719434 135625912 152579151 203438868 271251824 305158302 389924497 406877736 610316604 779848994 813755472 1169773491 1220633208 1559697988 2339546982 2441266416 3119395976 3509320473 3882291731 4679093964 6238791952 7018640946 7764583462 9358187928 11646875193 14037281892 15529166924 18716375856 23293750386 28074563784 31058333848 34940625579 46587500772 56149127568 62116667696 69881251158 89292709813 93175001544 139762502316 178585419626 186350003088 267878129439 279525004632 357170839252 535756258878 559050009264 714341678504 803634388317 1071512517756 1428683357008 1607268776634 2143025035512 3214537553268 4286050071024 6429075106536 12858150213072